English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We reanalyze the origin of the large transverse logarithms associated withthe QCD one loop beta-function coefficient in the NLO JIMWLK Hamiltonian. Weshow that some of these terms are not associated with the running of the QCDcoupling constant but rather with the DGLAP evolution. The DGLAP-likeresummation of these logarithms is mandatory within the JIMWLK Hamiltonian, aslong as the color correlation length in the projectile is larger than that inthe target. This regime in fact covers the whole range of rapidities at whichJIMWLK evolution is supposed to be applicable. We derive the RG equation thatresums these logarithms to all orders in alpha_s in the JIMWLK Hamiltonian.This is a nonlinear equation for the eikonal scattering matrix S(x). We solvethis equation and perform the DGLAP resummation in two simple cases: the dilutelimit, where both the projectile and the target are far from saturation, andthe saturated regime, where the target correlation length also determines itssaturation momentum.

Not all that is $\beta_0$ is $\beta$-function: the DGLAP resummation and the running coupling in NLO JIMWLK